Title :
Robust stability for stochastic interval Hopfield neural networks with time delays
Author :
Han, Jin-fang ; Qiu, Ji-qing ; Jia, Hui-ran ; Meng, Xiang-ting
Author_Institution :
Inst. of Eng. Math., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
In this paper, the robust stability for a kind of stochastic interval delayed Hopfield cellular neural networks is investigated by means of the Itô formula, Razumikhin theorems, Lyapunov function and norm inequalities. several simple sufficient conditions are obtained which guarantee the robust stability of the stochastic interval delayed Hopfield cellular neural networks. some recent results reported in the literature are generalized. Furthermore, that a Remark and a kind of equivalent description of this stochastic interval delayed Hopfield cellular neural networks are also presented.
Keywords :
Hopfield neural nets; Lyapunov methods; cellular neural nets; delays; stability; stochastic systems; Ito formula; Lyapunov function; Razumikhin theorem; norm inequalities; robust stability; stochastic interval delayed Hopfield cellular neural network; time delay; Artificial neural networks; Cellular neural networks; Circuit stability; Robust stability; Stability criteria; Stochastic processes; Itô formula; Lyapunov function; Robust Stability; Stochastic interval delayed Hopfield Cellular Neural Networks; Time-varying delays;
Conference_Titel :
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5958-2
DOI :
10.1109/ICNC.2010.5583221